What is the Greatest Common Factor of 75138 and 75143?

Greatest common factor (GCF) of 75138 and 75143 is 1.

GCF(75138,75143) = 1

We will now calculate the prime factors of 75138 and 75143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75138 and 75143.

How to find the GCF of 75138 and 75143?

We will first find the prime factorization of 75138 and 75143. After we will calculate the factors of 75138 and 75143 and find the biggest common factor number .

Step-1: Prime Factorization of 75138

Prime factors of 75138 are 2, 3, 7, 1789. Prime factorization of 75138 in exponential form is:

75138 = 2¹ × 3¹ × 7¹ × 1789¹

Step-2: Prime Factorization of 75143

Prime factors of 75143 are 163, 461. Prime factorization of 75143 in exponential form is:

75143 = 163¹ × 461¹

Step-3: Factors of 75138

List of positive integer factors of 75138 that divides 75138 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1789, 3578, 5367, 10734, 12523, 25046, 37569

Step-4: Factors of 75143

List of positive integer factors of 75143 that divides 75138 without a remainder.

1, 163, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75138 and 75143. The biggest common factor number is the GCF number.
So the greatest common factor 75138 and 75143 is 1.

Also check out the Least Common Multiple of 75138 and 75143